Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4630873 | Applied Mathematics and Computation | 2012 | 11 Pages |
Abstract
In this paper, we study the following sequential fractional differential equationa(t)CD0+αu(t)′=f(t,u(t),u′(t),CD0+αu(t)),t∈J,u(0)=0,CD0+αu(0)=0,u(1)=∑j=1m-1σju(ξj),where CD0+α is the Caputo fractional derivative, 1<α⩽2,σj∈R,ξj∈(0,1),j=1,2,…,m-1,m∈N,m>1,J=[0,1] and ∑j=1m-1σjξj=1. By the coincidence degree continuation theorem, we get some existence results about the boundary value problem at resonance.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yi Chen, Xianhua Tang,